{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "15f6d477-6d80-4949-accc-ca037a8b6969",
   "metadata": {},
   "source": [
    "Chapter 18\n",
    "# 传球问题\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "4169622f-6ce0-4b39-8918-14459df34180",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d4873cd0-3238-4de0-bce0-5bceefad34f2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# directed_G = nx.DiGraph()\n",
    "# # 创建有向图的实例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2cde10f6-da36-453c-95cb-17436deaa82a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# directed_G.add_nodes_from(['a', 'b', 'c', 'd', 'e', 'f'])\n",
    "# # 添加多个顶点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "14d9a342-8efd-4ffd-b48b-b78873ad283f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# directed_G.add_edges_from([('a','b'),\n",
    "#                            ('a','c'),\n",
    "#                            ('a','d'),\n",
    "#                            ('a','e'),\n",
    "#                            ('a','f')])\n",
    "\n",
    "# directed_G.add_edges_from([('b','a'),\n",
    "#                            ('b','c'),\n",
    "#                            ('b','d'),\n",
    "#                            ('b','e'),\n",
    "#                            ('b','f')])\n",
    "\n",
    "# directed_G.add_edges_from([('c','a'),\n",
    "#                            ('c','b'),\n",
    "#                            ('c','d'),\n",
    "#                            ('c','e'),\n",
    "#                            ('c','f')])\n",
    "\n",
    "# directed_G.add_edges_from([('d','a'),\n",
    "#                            ('d','b'),\n",
    "#                            ('d','c'),\n",
    "#                            ('d','e'),\n",
    "#                            ('d','f')])\n",
    "\n",
    "# directed_G.add_edges_from([('e','a'),\n",
    "#                            ('e','b'),\n",
    "#                            ('e','c'),\n",
    "#                            ('e','d'),\n",
    "#                            ('e','f')])\n",
    "\n",
    "# directed_G.add_edges_from([('f','a'),\n",
    "#                            ('f','b'),\n",
    "#                            ('f','c'),\n",
    "#                            ('f','d'),\n",
    "#                            ('f','e')])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ef7612cb-a263-4821-9608-6f3b305f8360",
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.complete_graph(6, nx.DiGraph())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a1da189d-d944-4af7-aab1-21528ff43342",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G.number_of_nodes()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e3b9069a-b438-4052-ad03-2aa5be2c99d8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "30"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G.number_of_edges()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "97e2aea8-f2b5-4676-aa0e-a78a8efe25ba",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mapping = {0: 'a', 1: 'b', 2: 'c', 3: 'd', 4: 'e', 5: 'f'}\n",
    "node_color = ['purple', 'blue', 'green', 'orange', 'red', 'pink']\n",
    "G = nx.relabel_nodes(G, mapping)\n",
    "pos = nx.circular_layout(G)\n",
    "\n",
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(G, \n",
    "                 pos = pos,\n",
    "                 connectionstyle='arc3, rad = 0.1',\n",
    "                 node_color = node_color,\n",
    "                 node_size = 180)\n",
    "plt.savefig('6-node directed G, complete.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "cebe461c-f457-4c19-a5ff-573c00f78691",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 1, 1, 1, 1, 1],\n",
       "       [1, 0, 1, 1, 1, 1],\n",
       "       [1, 1, 0, 1, 1, 1],\n",
       "       [1, 1, 1, 0, 1, 1],\n",
       "       [1, 1, 1, 1, 0, 1],\n",
       "       [1, 1, 1, 1, 1, 0]], dtype=int32)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = nx.adjacency_matrix(G).todense()\n",
    "A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "ebcdd4c8-512e-4fe1-a53e-63648fe94e12",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 球在A手里\n",
    "x0 = np.array([[1,0,0,0,0,0]]).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "3b334517-480a-46da-9292-00e2cb66f2ab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0],\n",
       "       [1],\n",
       "       [1],\n",
       "       [1],\n",
       "       [1],\n",
       "       [1]])"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 第1次传球\n",
    "x1 = A @ x0\n",
    "x1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "f67b6e17-f3bc-4213-9d10-8d27e8e1d319",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x1.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "7165548d-ce3f-4df0-9478-98422905edea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "30"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "7447913d-94e7-4081-8871-fc12afaea0b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5],\n",
       "       [4],\n",
       "       [4],\n",
       "       [4],\n",
       "       [4],\n",
       "       [4]])"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 第2次传球\n",
    "x2 = A @ x1\n",
    "x2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "b30e27dc-f973-431d-b36e-aa32cb97de73",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5, 4, 4, 4, 4, 4],\n",
       "       [4, 5, 4, 4, 4, 4],\n",
       "       [4, 4, 5, 4, 4, 4],\n",
       "       [4, 4, 4, 5, 4, 4],\n",
       "       [4, 4, 4, 4, 5, 4],\n",
       "       [4, 4, 4, 4, 4, 5]], dtype=int32)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A @ A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "1a60a09a-198c-4c90-bda4-be088e580af0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "150"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(A @ A).sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "539a53b1-b361-4bba-b098-f81b30ed7f8b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "25"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x2.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "b5966c73-b3ce-40d8-95d9-181cf73297ab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[20],\n",
       "       [21],\n",
       "       [21],\n",
       "       [21],\n",
       "       [21],\n",
       "       [21]])"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 第3次传球\n",
    "x3 = A @ x2\n",
    "x3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "3c7f3dde-0c56-4d2e-9b9a-da6abd2e3786",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "125"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x3.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "88200d03-347a-44da-ac4e-231da55fde4a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[20, 21, 21, 21, 21, 21],\n",
       "       [21, 20, 21, 21, 21, 21],\n",
       "       [21, 21, 20, 21, 21, 21],\n",
       "       [21, 21, 21, 20, 21, 21],\n",
       "       [21, 21, 21, 21, 20, 21],\n",
       "       [21, 21, 21, 21, 21, 20]], dtype=int32)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A@A@A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "f6ee5b27-05c7-4536-b3f0-224e2cb2b1f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[105],\n",
       "       [104],\n",
       "       [104],\n",
       "       [104],\n",
       "       [104],\n",
       "       [104]])"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 第4次传球\n",
    "x4 = A @ x3\n",
    "x4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "ea99d2c7-0139-4328-bead-8788fd90630c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "625"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x4.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "f9e6f958-64ee-489e-9657-feb6b1577d25",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[105, 104, 104, 104, 104, 104],\n",
       "       [104, 105, 104, 104, 104, 104],\n",
       "       [104, 104, 105, 104, 104, 104],\n",
       "       [104, 104, 104, 105, 104, 104],\n",
       "       [104, 104, 104, 104, 105, 104],\n",
       "       [104, 104, 104, 104, 104, 105]], dtype=int32)"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A@A@A@A"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ad13269b-3859-485a-9a9e-9e5034250d84",
   "metadata": {},
   "source": [
    "## 组合数求法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "21f14c63-a327-4d0f-a4e6-e276ffd14356",
   "metadata": {},
   "outputs": [],
   "source": [
    "m = 6\n",
    "n = 4\n",
    "import math\n",
    "total_num = 0\n",
    "\n",
    "for idx in range(1,math.floor(n/2) + 1):\n",
    "    \n",
    "    num_idx = (m - 1)**idx*(m - 2)**(n - 2*idx) * math.comb(n - 1 - idx, idx - 1)\n",
    "    total_num = total_num + num_idx\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "e84bb2b2-7d36-4857-b4ed-51763c0bbd8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "105"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "total_num"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f031f2cc-e20e-4658-ae39-1b305cd50adf",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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